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Problem: Graph Valid Tree

Medium
30 min
Understand how to assess if a graph qualifies as a valid tree by checking that all nodes are connected without any cycles. This lesson helps you apply graph theory concepts to identify valid tree structures efficiently using node and edge data.

Statement

Given n as the number of nodes and an array of the edges of a graph, find out if the graph is a valid tree. The nodes of the graph are labeled from 00 to n1n - 1, and edges[i]=[x,y]edges[i] = [x, y] represents an undirected edge connecting the nodes xx and yy of the graph.

A graph is a valid tree when all the nodes are connected and there is no cycle between them.

Constraints:

  • 11 \leq n 1000\leq 1000
  • 00 \leq edges.length 2000\leq 2000
  • edges[i].length =2= 2
  • 00 \leq xx, yy << n
  • xx !=!= yy
  • There are no repeated edges.
Problem
Ask
Submissions

Problem: Graph Valid Tree

Medium
30 min
Understand how to assess if a graph qualifies as a valid tree by checking that all nodes are connected without any cycles. This lesson helps you apply graph theory concepts to identify valid tree structures efficiently using node and edge data.

Statement

Given n as the number of nodes and an array of the edges of a graph, find out if the graph is a valid tree. The nodes of the graph are labeled from 00 to n1n - 1, and edges[i]=[x,y]edges[i] = [x, y] represents an undirected edge connecting the nodes xx and yy of the graph.

A graph is a valid tree when all the nodes are connected and there is no cycle between them.

Constraints:

  • 11 \leq n 1000\leq 1000
  • 00 \leq edges.length 2000\leq 2000
  • edges[i].length =2= 2
  • 00 \leq xx, yy << n
  • xx !=!= yy
  • There are no repeated edges.